The Shilov boundary M- of an irreducible
bounded symmetric domain D of tube type is a flag manifold
of a simple Lie group G(D) of Hermitian type. M-
has a natural G(D)-invariant causal structure. By a causal
Makarevich space, we mean an open symmetric orbit in
M- under a reductive subgroup of G(D), endowed
with the causal structure induced from that of the ambient
space M-. All symmetric cones in simple Euclidean
Jordan algebras fall into the class of causal Makarevich spaces.
We associate a causal structure with a certain G-structure.
Based on this, we obtain the Liouville-type theorem for the
causal structure on M-, asserting the unique global
extension of a local causal automorphism on M-. By
using this, we determine the causal automorphism groups of all
causal Makarevich spaces.